Search a number
-
+
23131500 = 2235372203
BaseRepresentation
bin101100000111…
…1010101101100
31121112012110020
41120033111230
521410202000
62143442140
7400420530
oct130172554
947465406
1023131500
111206a047
1278b6350
134a3b8a2
143101bc0
15206dba0
hex160f56c

23131500 has 96 divisors (see below), whose sum is σ = 77016576. Its totient is φ = 5284800.

The previous prime is 23131483. The next prime is 23131513. The reversal of 23131500 is 513132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23131500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9399 + ... + 11601.

It is an arithmetic number, because the mean of its divisors is an integer number (802256).

Almost surely, 223131500 is an apocalyptic number.

23131500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38508288).

23131500 is an abundant number, since it is smaller than the sum of its proper divisors (53885076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23131500 is a wasteful number, since it uses less digits than its factorization.

23131500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 23131500 is about 4809.5218057516. The cubic root of 23131500 is about 284.9276516880.

Adding to 23131500 its reverse (513132), we get a palindrome (23644632).

The spelling of 23131500 in words is "twenty-three million, one hundred thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2203 2625 3500 4406 5250 6609 8812 10500 11015 13218 15421 22030 26436 30842 33045 44060 46263 55075 61684 66090 77105 92526 110150 132180 154210 165225 185052 220300 231315 275375 308420 330450 385525 462630 550750 660900 771050 826125 925260 1101500 1156575 1542100 1652250 1927625 2313150 3304500 3855250 4626300 5782875 7710500 11565750 23131500